Information on Result #912055
Linear OOA(2170, 100, F2, 2, 74) (dual of [(100, 2), 30, 75]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3214, 20, F32, 14) (dual of [20, 6, 15]-code or 20-arc in PG(13,32)), using
- discarding factors / shortening the dual code based on linear OA(3214, 32, F32, 14) (dual of [32, 18, 15]-code or 32-arc in PG(13,32)), using
- Reed–Solomon code RS(18,32) [i]
- discarding factors / shortening the dual code based on linear OA(3214, 32, F32, 14) (dual of [32, 18, 15]-code or 32-arc in PG(13,32)), using
- linear OOA(25, 5, F2, 2, 4) (dual of [(5, 2), 5, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,5P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2170, 100, F2, 2, 73) (dual of [(100, 2), 30, 74]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2170, 100, F2, 2, 72) (dual of [(100, 2), 30, 73]-NRT-code) | [i] | ||
| 3 | Linear OOA(2172, 101, F2, 2, 74) (dual of [(101, 2), 30, 75]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(2174, 102, F2, 2, 74) (dual of [(102, 2), 30, 75]-NRT-code) | [i] | ||
| 5 | Linear OOA(2171, 100, F2, 2, 74) (dual of [(100, 2), 29, 75]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2169, 99, F2, 2, 73) (dual of [(99, 2), 29, 74]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(2170, 50, F2, 4, 74) (dual of [(50, 4), 30, 75]-NRT-code) | [i] | OOA Folding | |